One side of a triangle is produced and the exterior angle so formed is 120°. If the interior opposite angles are in the ratio 2 : 3, Find the measure of each angle of the triangle.
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let the ratio be 2X and 3X since we know that the exterior formed is equals to the sum of interior opposite angles.
so
2X+3x=120
5x=120
x=24
so 2x =2×24=48
and 3x=3×24=72
so
2X+3x=120
5x=120
x=24
so 2x =2×24=48
and 3x=3×24=72
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